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You are here: Home » GMAT Test Prep Questions » Algebra : Linear Equation » Question 1

The question given below is a Math problem in Algebra and requires framing a couple of linear equations and solving the equations.

Question 1

A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many chickens were there in the farm?

1. 70
2. 120
3. 60
4. 130
5. 80

The correct choice is (D) and the correct answer is 130.

Let there by 'x' chickens and 'y' pigs.
Therefore, x + y = 200 --- (1)

Each chicken has 2 legs and each pig has 4 legs
Therefore, 2x + 4y = 540 --- (2)

Solving equations (1) and (2), we get x = 130 and y = 70.

There were 130 chickens and 70 pigs in the farm.